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Submission #374440

# Submission time Handle Problem Language Result Execution time Memory
374440 2021-03-07T09:51:34 Z pit4h Split the Attractions (IOI19_split) C++14
100 / 100
 216 ms 32268 KB 
#include "split.h"
#include<bits/stdc++.h>
using namespace std;

const int MAXN = 2e5+1;
vector<int> g[MAXN];
vector<int> res;
int found;
int n, d[MAXN], subt[MAXN], low[MAXN];
bool vis[MAXN];
int A, B;

void get(int x, int val) {
	res[x] = val;
	for(int i: g[x]) {
		if(d[i] == d[x]+1) {
			get(i, val);
		}
	}
}

void dfs(int x) {
	low[x] = d[x], vis[x] = 1, subt[x] = 1;
	bool candidate = 1;
	int over = 0;
	for(int i: g[x]) {
		if(!vis[i]) {
			d[i] = d[x]+1;
			dfs(i);
			subt[x] += subt[i], low[x] = min(low[x], low[i]);
			if(subt[i] >= A) {
				candidate = 0;
			}
			if(low[i] < d[x]) {
				over += subt[i];
			}
		}
		else {
			low[x] = min(low[x], d[i]); 
		}
	}
	if(!found && candidate && subt[x] >= A) {
		if(n-subt[x] + over >= B) {
			found = 1;
			res.clear(), res.resize(n, 2);
			res[x] = 1;
			int add = B - (n-subt[x]); 			
			for(int i: g[x]) {
				if(add > 0 && d[i] == d[x]+1 && low[i] < d[x]) {
					add -= subt[i];
				}
				else if(d[i] == d[x]+1) {
					get(i, 1);	
				}
			}
		}
		else if(n-subt[x] + over >= A) {
			found = 1;
			res.clear(), res.resize(n, 1);
			res[x] = 2;
			int add = A - (n-subt[x]);
			for(int i: g[x]) {
				if(add > 0 && d[i] == d[x]+1 && low[i] < d[x]) {
					add -= subt[i];
				}
				else if(d[i] == d[x]+1) {
					get(i, 2);
				}
			}
		}
	}
}

vector<int> tree[MAXN];
int deg[MAXN];
bool vist[MAXN];
void dfst(int x) {
	vist[x] = 1;
	for(int i: g[x]) {
		if(!vist[i] && res[x]==res[i]) {
			tree[i].push_back(x), tree[x].push_back(i);
			deg[i]++, deg[x]++;

			dfst(i);
		}
	}
}

vector<int> find_split(int _n, int a, int b, int c, vector<int> p, vector<int> q) {
	n = _n;
	int m = p.size();
	A = min({a, b, c});
	B = a+b+c - min({a, b, c}) - max({a, b, c});

	for(int i=0; i<m; ++i) {
		g[p[i]].push_back(q[i]);
		g[q[i]].push_back(p[i]);
	}

	res.resize(n, 0);
	dfs(0);
	if(!found) {
		return res;
	}

	vector<pair<int, int>> vec = { make_pair(a, 1), make_pair(b, 2), make_pair(c, 3) };
	sort(vec.begin(), vec.end());

	int cnt[3] = {0, 0, 0}, rep[3] = {0, 0, 0};
	for(int i=0; i<n; ++i) {
		assert(res[i] != 0);
		cnt[res[i]]++;
		rep[res[i]] = i;
	}

	for(int nr=1; nr<=2; ++nr) {
		dfst(rep[nr]);
		vector<int> ready;
		for(int i=0; i<n; ++i) {
			if(res[i]==nr && deg[i]==1) {
				ready.push_back(i);
			}
		}
		while(cnt[nr] > vec[nr-1].first) {
			assert(ready.size());
			int cur = ready.back();
			ready.pop_back();
			res[cur] = 0;
			cnt[nr]--;
			for(int i: tree[cur]) {
				deg[i]--;
				if(deg[i]==1) {
					ready.push_back(i);
				}
			}
		}
	}

	int nrA = vec[0].second, nrB = vec[1].second, nrC = vec[2].second;
	
	for(int i=0; i<n; ++i) {
		if(res[i]==1) {
			res[i] = nrA;
		}
		else if(res[i]==2) {
			res[i] = nrB;
		}
		else {
			res[i] = nrC;
		}
	}
	
	return res;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB ok, correct split
2 Correct 7 ms 9708 KB ok, correct split
3 Correct 7 ms 9708 KB ok, correct split
4 Correct 7 ms 9708 KB ok, correct split
5 Correct 7 ms 9708 KB ok, correct split
6 Correct 8 ms 9836 KB ok, correct split
7 Correct 185 ms 31724 KB ok, correct split
8 Correct 157 ms 29420 KB ok, correct split
9 Correct 155 ms 29932 KB ok, correct split
10 Correct 158 ms 32236 KB ok, correct split
11 Correct 155 ms 32268 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9836 KB ok, correct split
2 Correct 7 ms 9708 KB ok, correct split
3 Correct 7 ms 9708 KB ok, correct split
4 Correct 196 ms 28144 KB ok, correct split
5 Correct 135 ms 21668 KB ok, correct split
6 Correct 161 ms 32236 KB ok, correct split
7 Correct 143 ms 28268 KB ok, correct split
8 Correct 177 ms 24456 KB ok, correct split
9 Correct 141 ms 21356 KB ok, correct split
10 Correct 90 ms 22116 KB ok, correct split
11 Correct 86 ms 22116 KB ok, correct split
12 Correct 98 ms 22460 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB ok, correct split
2 Correct 132 ms 21712 KB ok, correct split
3 Correct 49 ms 14620 KB ok, correct split
4 Correct 7 ms 9708 KB ok, correct split
5 Correct 158 ms 25068 KB ok, correct split
6 Correct 141 ms 24556 KB ok, correct split
7 Correct 169 ms 24484 KB ok, correct split
8 Correct 146 ms 26188 KB ok, correct split
9 Correct 152 ms 24172 KB ok, correct split
10 Correct 30 ms 12396 KB ok, no valid answer
11 Correct 41 ms 13804 KB ok, no valid answer
12 Correct 77 ms 17896 KB ok, no valid answer
13 Correct 81 ms 17900 KB ok, no valid answer
14 Correct 62 ms 18020 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB ok, correct split
2 Correct 8 ms 9708 KB ok, no valid answer
3 Correct 7 ms 9708 KB ok, correct split
4 Correct 9 ms 9708 KB ok, correct split
5 Correct 7 ms 9708 KB ok, correct split
6 Correct 8 ms 9708 KB ok, correct split
7 Correct 7 ms 9708 KB ok, correct split
8 Correct 7 ms 9708 KB ok, correct split
9 Correct 10 ms 10220 KB ok, correct split
10 Correct 10 ms 10092 KB ok, correct split
11 Correct 7 ms 9708 KB ok, correct split
12 Correct 9 ms 10092 KB ok, correct split
13 Correct 7 ms 9708 KB ok, correct split
14 Correct 7 ms 9708 KB ok, correct split
15 Correct 7 ms 9708 KB ok, correct split
16 Correct 7 ms 9708 KB ok, correct split
17 Correct 7 ms 9708 KB ok, correct split
18 Correct 7 ms 9708 KB ok, correct split
19 Correct 8 ms 9836 KB ok, correct split
20 Correct 8 ms 9964 KB ok, correct split
21 Correct 9 ms 10092 KB ok, correct split
22 Correct 9 ms 10092 KB ok, correct split
23 Correct 11 ms 10220 KB ok, correct split
24 Correct 9 ms 10092 KB ok, correct split
25 Correct 9 ms 10092 KB ok, correct split
26 Correct 9 ms 10092 KB ok, correct split
27 Correct 9 ms 10092 KB ok, correct split
28 Correct 9 ms 10092 KB ok, correct split
29 Correct 7 ms 9836 KB ok, correct split
30 Correct 9 ms 10092 KB ok, correct split
31 Correct 9 ms 9836 KB ok, correct split
32 Correct 7 ms 9708 KB ok, correct split
33 Correct 7 ms 9836 KB ok, correct split
34 Correct 9 ms 10092 KB ok, correct split
35 Correct 9 ms 10092 KB ok, correct split
36 Correct 9 ms 10112 KB ok, correct split
37 Correct 10 ms 10092 KB ok, correct split
38 Correct 10 ms 10092 KB ok, correct split
39 Correct 10 ms 10092 KB ok, correct split
40 Correct 10 ms 10220 KB ok, correct split
41 Correct 9 ms 9964 KB ok, correct split
42 Correct 8 ms 9964 KB ok, correct split
43 Correct 10 ms 10092 KB ok, correct split
44 Correct 11 ms 10092 KB ok, correct split
45 Correct 10 ms 10092 KB ok, correct split
46 Correct 9 ms 10220 KB ok, correct split
47 Correct 9 ms 10092 KB ok, no valid answer
48 Correct 9 ms 10092 KB ok, correct split
49 Correct 9 ms 10220 KB ok, correct split
50 Correct 7 ms 9708 KB ok, no valid answer
51 Correct 7 ms 9708 KB ok, no valid answer
52 Correct 9 ms 9964 KB ok, no valid answer
53 Correct 11 ms 10092 KB ok, no valid answer
54 Correct 10 ms 9964 KB ok, no valid answer
55 Correct 9 ms 9964 KB ok, no valid answer
56 Correct 9 ms 9964 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB ok, correct split
2 Correct 7 ms 9708 KB ok, correct split
3 Correct 7 ms 9708 KB ok, correct split
4 Correct 7 ms 9708 KB ok, correct split
5 Correct 7 ms 9708 KB ok, correct split
6 Correct 8 ms 9836 KB ok, correct split
7 Correct 185 ms 31724 KB ok, correct split
8 Correct 157 ms 29420 KB ok, correct split
9 Correct 155 ms 29932 KB ok, correct split
10 Correct 158 ms 32236 KB ok, correct split
11 Correct 155 ms 32268 KB ok, correct split
12 Correct 8 ms 9836 KB ok, correct split
13 Correct 7 ms 9708 KB ok, correct split
14 Correct 7 ms 9708 KB ok, correct split
15 Correct 196 ms 28144 KB ok, correct split
16 Correct 135 ms 21668 KB ok, correct split
17 Correct 161 ms 32236 KB ok, correct split
18 Correct 143 ms 28268 KB ok, correct split
19 Correct 177 ms 24456 KB ok, correct split
20 Correct 141 ms 21356 KB ok, correct split
21 Correct 90 ms 22116 KB ok, correct split
22 Correct 86 ms 22116 KB ok, correct split
23 Correct 98 ms 22460 KB ok, correct split
24 Correct 7 ms 9708 KB ok, correct split
25 Correct 132 ms 21712 KB ok, correct split
26 Correct 49 ms 14620 KB ok, correct split
27 Correct 7 ms 9708 KB ok, correct split
28 Correct 158 ms 25068 KB ok, correct split
29 Correct 141 ms 24556 KB ok, correct split
30 Correct 169 ms 24484 KB ok, correct split
31 Correct 146 ms 26188 KB ok, correct split
32 Correct 152 ms 24172 KB ok, correct split
33 Correct 30 ms 12396 KB ok, no valid answer
34 Correct 41 ms 13804 KB ok, no valid answer
35 Correct 77 ms 17896 KB ok, no valid answer
36 Correct 81 ms 17900 KB ok, no valid answer
37 Correct 62 ms 18020 KB ok, no valid answer
38 Correct 7 ms 9708 KB ok, correct split
39 Correct 8 ms 9708 KB ok, no valid answer
40 Correct 7 ms 9708 KB ok, correct split
41 Correct 9 ms 9708 KB ok, correct split
42 Correct 7 ms 9708 KB ok, correct split
43 Correct 8 ms 9708 KB ok, correct split
44 Correct 7 ms 9708 KB ok, correct split
45 Correct 7 ms 9708 KB ok, correct split
46 Correct 10 ms 10220 KB ok, correct split
47 Correct 10 ms 10092 KB ok, correct split
48 Correct 7 ms 9708 KB ok, correct split
49 Correct 9 ms 10092 KB ok, correct split
50 Correct 7 ms 9708 KB ok, correct split
51 Correct 7 ms 9708 KB ok, correct split
52 Correct 7 ms 9708 KB ok, correct split
53 Correct 7 ms 9708 KB ok, correct split
54 Correct 7 ms 9708 KB ok, correct split
55 Correct 7 ms 9708 KB ok, correct split
56 Correct 8 ms 9836 KB ok, correct split
57 Correct 8 ms 9964 KB ok, correct split
58 Correct 9 ms 10092 KB ok, correct split
59 Correct 9 ms 10092 KB ok, correct split
60 Correct 11 ms 10220 KB ok, correct split
61 Correct 9 ms 10092 KB ok, correct split
62 Correct 9 ms 10092 KB ok, correct split
63 Correct 9 ms 10092 KB ok, correct split
64 Correct 9 ms 10092 KB ok, correct split
65 Correct 9 ms 10092 KB ok, correct split
66 Correct 7 ms 9836 KB ok, correct split
67 Correct 9 ms 10092 KB ok, correct split
68 Correct 9 ms 9836 KB ok, correct split
69 Correct 7 ms 9708 KB ok, correct split
70 Correct 7 ms 9836 KB ok, correct split
71 Correct 9 ms 10092 KB ok, correct split
72 Correct 9 ms 10092 KB ok, correct split
73 Correct 9 ms 10112 KB ok, correct split
74 Correct 10 ms 10092 KB ok, correct split
75 Correct 10 ms 10092 KB ok, correct split
76 Correct 10 ms 10092 KB ok, correct split
77 Correct 10 ms 10220 KB ok, correct split
78 Correct 9 ms 9964 KB ok, correct split
79 Correct 8 ms 9964 KB ok, correct split
80 Correct 10 ms 10092 KB ok, correct split
81 Correct 11 ms 10092 KB ok, correct split
82 Correct 10 ms 10092 KB ok, correct split
83 Correct 9 ms 10220 KB ok, correct split
84 Correct 9 ms 10092 KB ok, no valid answer
85 Correct 9 ms 10092 KB ok, correct split
86 Correct 9 ms 10220 KB ok, correct split
87 Correct 7 ms 9708 KB ok, no valid answer
88 Correct 7 ms 9708 KB ok, no valid answer
89 Correct 9 ms 9964 KB ok, no valid answer
90 Correct 11 ms 10092 KB ok, no valid answer
91 Correct 10 ms 9964 KB ok, no valid answer
92 Correct 9 ms 9964 KB ok, no valid answer
93 Correct 9 ms 9964 KB ok, no valid answer
94 Correct 149 ms 25328 KB ok, correct split
95 Correct 210 ms 31464 KB ok, correct split
96 Correct 197 ms 29400 KB ok, correct split
97 Correct 45 ms 14620 KB ok, correct split
98 Correct 47 ms 14760 KB ok, correct split
99 Correct 66 ms 17132 KB ok, correct split
100 Correct 199 ms 25220 KB ok, correct split
101 Correct 183 ms 24184 KB ok, correct split
102 Correct 150 ms 23748 KB ok, correct split
103 Correct 154 ms 23604 KB ok, correct split
104 Correct 155 ms 25620 KB ok, correct split
105 Correct 79 ms 17052 KB ok, correct split
106 Correct 162 ms 25432 KB ok, correct split
107 Correct 134 ms 21740 KB ok, correct split
108 Correct 128 ms 21736 KB ok, correct split
109 Correct 202 ms 24488 KB ok, correct split
110 Correct 192 ms 24548 KB ok, correct split
111 Correct 202 ms 24548 KB ok, correct split
112 Correct 209 ms 25060 KB ok, correct split
113 Correct 168 ms 24928 KB ok, correct split
114 Correct 20 ms 11756 KB ok, correct split
115 Correct 21 ms 11372 KB ok, correct split
116 Correct 216 ms 24420 KB ok, correct split
117 Correct 215 ms 24420 KB ok, correct split
118 Correct 136 ms 21484 KB ok, correct split
119 Correct 127 ms 21356 KB ok, correct split
120 Correct 157 ms 27372 KB ok, correct split
121 Correct 87 ms 17772 KB ok, no valid answer
122 Correct 84 ms 17772 KB ok, no valid answer
123 Correct 144 ms 22124 KB ok, no valid answer
124 Correct 130 ms 21868 KB ok, no valid answer
125 Correct 81 ms 18916 KB ok, no valid answer
126 Correct 58 ms 17252 KB ok, no valid answer
127 Correct 104 ms 19428 KB ok, no valid answer